Abstract—Body fitted curvilinear coordinate systems
(usually abbreviated to “BFC”) are widely used for calculating
the flow around arbitrary complex bodies, but generally they
are not orthogonal. The accuracy deteriorates if the departure
from orthogonality is too large, and non-orthogonal coordinate
systems make the application of boundary conditions more
complex. In this study, the method for generating the
orthogonal BFC based on the non-orthogonal BFC is suggested,
and five kinds of calculation grids (one non-orthogonal and four
orthogonal grids) are generated. The two-dimensional
calculations were performed for the flow around a circular
cylinder with these orthogonal and non-orthogonal grids. The
calculated results were compared with the measurements and
the analytic prediction. The validity of grid orthogonality and
the method for generating the orthogonal BFC are confirmed.
Index Terms—Orthogonal curvilinear coordinate system, BFC, CFD, cylinder wake.
I. Nakane is with the Kanagawa Institute of Technology, Kanagawa, Japan (e-mail: firstname.lastname@example.org).
Cite:Ichiro Nakane, "Effectiveness of Grid Orthogonality on Body Fitted Curvilinear Coordinate System in CFD," International Journal of Environmental Science and Development vol. 4, no. 2, pp. 173-178, 2013.